Answered

Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds. How does Steve's time compare to Paul's?

ASteve is 5∕6 as fast as Paul
BSteve is 5∕6 slower than Paul
CSteve is 1∕2 as fast as Paul
DSteve is 1∕2 slower than Paul



a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.


How many more people preferred WWCN with 41% than WANR with 22%?

A164
B76
C236
D68

Verified Answer :

So, Steve's time in a ratio to Paul's time:


\(\frac{Steven's time}{Pauls's time} = \frac{10}{12} = \frac{5}{6} .\) So Steven's time is \(\frac{5}{6}\) times shorter, that is
"Steven is \(\frac{5}{6}\) times faster than Paul (I find the phrasing "as fast as" problematic though)

In the second question 41% of 400, which is 441=164 people chose WWCN and 22% chose WANR, that is 22%400=4*22=88.

And the difference is 76 people! ( 164-88=76)B)

Answer:

Q-1 The correct option is A) Steve is 5∕6 as fast as Paul

Q-2 The correct option is 76.

Step-by-step explanation:

Consider the provided information.

Q-1

Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds.


Since, the distance for both are same,

\(\frac{\text{Steve's time}}{\text{Paul's time}}=\frac{10}{12}=\frac{5}{6}\\\text{Steve's time}=\frac{5}{6}\text{ of Paul's time}}\)

Hence, Steve's time is 5⁄6 of the time taken by Paul.

Therefore, the correct option is A) Steve is 5∕6 as fast as Paul

Q-2 a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.

WWCN got  41% and WANR got 22%

For WWCN

41% of 400 is: \(\frac{41}{100} \times 400=164\)

That means 164 people preferred WWCN.

For WANR

22% of 400 is: \(\frac{22}{100} \times 400=88\)

That means 88 people preferred WANR.

We need to find how many more people preferred WWCN

For this subtract both the values: 164-88=76

Thus, 76 more people preferred WWCN

Hence, the correct option is 76.